22 citations · 80 across the 24 of their papers we have counts for
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math.GR2013★ 5 cited
Sphere equivalence, Banach expanders, and extrapolation
Masato Mimura
We study the Banach spectral gap lambda_1(G;X,p) of finite graphs G for pairs (X,p) of Banach spaces and exponents. We define the notion of sphere equivalence between Banach spaces…
math.GR2013★ 3 cited
Group approximation in Cayley topology and coarse geometry, Part I: Coarse embeddings of amenable groups
Masato Mimura, Hiroki Sako
The objective of this series is to study metric geometric properties of (coarse) disjoint unions of amenable Cayley graphs. We employ the Cayley topology and observe connections be…